degree of approximation 中文意思是什麼

degree of approximation 解釋
逼近度
  • degree : n. 1. 程度；等級。2. 階層，地位。3. 學位，學術。4. 度，度數。5. 【數學】次；冪。6. 【音樂】階，度，音程。7. 【語法】（形容詞和副詞的）級。8. 【法律】親等。
  • of : OF ＝Old French 古法語。
  • approximation : n. 1. 接近；近似。2. 【數學】近似值。3. 概算，略計。
  1. Then a high - degree geometric continuity blending surface is obtained with transfinite interpolate method. ( e ) g3 blending surface with approximation can be constructed by lofting if geometric invariant errors are given, the surface can be converted to b - spline, nurbs form for the purpose of system aggregation

    最後，為滿足曲面造型系統集成的需要，在保證曲率、曲率導數和撓率精度情況下，將上述研究結果應用於曲面放樣逼近方法，得到參數過渡曲面轉換成b樣條曲面或nurbs曲面的形式。
  2. With the dissipation approximation, the results show that if the dissipation constant is considerably small, the influence of the environment on the coherence of the field can be ignored ; the larger the field ' s intensity is, the weaker the entanglement between the field and the atom, and the larger the degree of the mixture for the field ; the more the atomic distribution angle tends to tr / 2, the larger the mixture degree of the field is, while the stronger the entanglement between the field and the atom

    在耗散近似下，結果顯示：如果耗散系數k足夠小，則光腔對光場相干性的影響可以忽略；場強越大，光場與原子之間的糾纏越弱，場可達到的最大混合度越大；原子分佈角越趨向/ 2 ，場的混合度越大，而場與原子之間的糾纏越強。 nnewdy力amicspr明州娜毓協月
  3. The second part has summarized from the one - dimension and multivariate respects the abundant approximation properties of bernstein polynomials, mainly including the estimation of approximation degree, derivative approximation, linear combination approximation and weighted approximation

    第二部分從一元和多元兩個方面系統總結了bernstein運算元豐富的逼近性質，主要包括逼近度估計、導數逼近、線性組合逼近和加權逼近等
  4. Degree reduction approximation of rational b 233 ; zier surfaces

    曲面的降階逼近
  5. The parametric speed of the curve is firstly approximated by the bezier polynomial which takes the lengths of control polygon ' s edges of the direction curve of normal as bezier coordinates. then the corresponding geometric offset approximation algorithm is given. moreover, an offset approximation with high precision is obtained by degree elevation of the direction curve of normal

    首先利用以法矢方向曲線的控制多邊形邊長為b zier縱標的b zier多項式來逼近曲線的參數速度，給出了相應的幾何等距逼近演算法，進一步結合法矢方向曲線的升階獲得了高精度逼近
  6. Secondly, as for degree reduction of interval rational bezier curves, two methods are given : pseudo linear programming method ( plpm ) and pseudo optimal approximation method ( poam )

    接下來對區間有理bezier曲線，給出兩種降階逼近演算法：擬線性規劃法（ plpm ）和擬最優逼近法（ poam ） 。
  7. Based on the representation of interval rational bezier curves and surfaces and by a serial of mathematical transformation, the degree reductions of them are converted to those of polynomials with upper bounds, then several algorithms are presented, with linear programming and optimal approximation methods. by relaxation of some constrained conditions, approximation effects of some of them are further improved

    根據區間有理bezier曲線、曲面的特點，通過一系列數學變換，將其降階問題轉化為多項式的保上界降階逼近，再應用線性規劃和最優逼近方法求解，給出幾種逼近演算法，並探討通過約束不等式的鬆弛，進一步改進逼近效果。
  8. Two methods are given. one is obtained by using degree reduction of interval rational bezier curves in two parameter directions according to the character of tensor product, which is called " single step method ". by comparison for degree reductions produced by the different order in two parameter directions, the relationships of the approximation results are discussed

    然後討論了矩形域上區間有理bezier曲面的降階問題，給出兩種降階演算法：一個是針對張量積的特點將問題轉變為兩參數方向的區間有理曲線的降階逼近，即「單步法」 ，並討論單步法沿兩參數方向不同次序降階的關系。
  9. This thesis makes an in - depth study in three types of operations - evaluation for bezier curves and surfaces, offset approximation for bezier curves and rational bezier curves, degree reduction for nurbs curves and surfaces, all of which are of great importance in cagd researches

    本文圍繞cagd領域中的三類佔有重要地位的運算? ? b zier曲線曲面求值運算、 b zier曲線及有理b zier曲線等距變換以及nurbs曲線曲面的降階變換問題展開深入研究
  10. The other, called " integral method ", is got by converting the problem to degree reduction of bi - variable polynomials with upper bounds using approximation theory and the relationships between chebyshev bases and bernstein bases

    另一個是將問題轉化為二元多項式的保上界降階問題，再由近似逼近理論和chebyshev基與bernstein基的轉換關系，求得區間有理bezier曲面的降階逼近的「整體法」 。
  11. The author ' s work gives new way, which is beneficial to real time interaction and can efficiently reduce computing time as well as data storage amount. these algorithms can find good use in numerical machining, robotics, form - position tolerance and computer graphics. ( 3 ) degree reduction for nurbs curves and surfaces by applying the theory of the best uniform approximation of chebyshev polynomials and the explicit matrix representation of nurbs curves, this thesis centers on the research of the explicit nearly best approximation of multi - degree reduction of nurbs curves

    以上關于等距曲線的幾何逼近與代數逼近的演算法改革了當前國際圖形界只能對基曲線沿法矢方向平移定距離的點作近似逼近的固定模式，創造了利於交互操作，能有效地減少計算量及數據存儲量的新方法，可在數控加工、浙江大學碩士學位論文機器人、形位公差學、計算機圖形學中獲得很好的應用（ 3 ） nurbs曲線曲面降階應用nurbs曲線的顯式矩陣表示及chebyshev多項式逼近理論，以實現nurbs曲線顯式一次性降多階的近似最佳逼近為目標進行了研究
  12. In this paper, the nonclassical properties of two two - level atoms interacting with a single mode light field is studied by means of the quantum theory without rotating wave approximation ; the influences of the yirtual photon process on the mean photon number, the degree of second order coherence of field, the evolution of the field entropy and the squeezing effect are also discussed

    本文利用全量子理論，研究了非旋波近似下「耦合雙原子-單模光場」相互作用過程中光場所表現出的非經典性質，研究了虛光子過程對場的平均光子數、二階相干度、場熵演化特性及光場壓縮效應的影響。
  13. In order to describe a higher degree of smoothness, the fourth part has investigated the extended results of pointwise approximation of bernstein operators with the help of linear combinations of bernstein polynomials and properties of modulus of smoothnes s

    第四部分為了刻劃高階光滑性，利用bernstein運算元的線性組合和光滑模的性質，討論了bernstein運算元點態逼近的更廣泛結果。
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